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34494978 = 23729127223
BaseRepresentation
bin1000001110010…
…1101000000010
32101220112012210
42003211220002
532312314403
63231202550
7566126310
oct203455002
971815183
1034494978
1118520651
12b676456
1371b9c3b
14481d0b0
153065b03
hex20e5a02

34494978 has 64 divisors (see below), whose sum is σ = 82575360. Its totient is φ = 9398592.

The previous prime is 34494959. The next prime is 34494979. The reversal of 34494978 is 87949443.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34494979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154575 + ... + 154797.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 234494978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34494978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287680).

34494978 is an abundant number, since it is smaller than the sum of its proper divisors (48080382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34494978 is a wasteful number, since it uses less digits than its factorization.

34494978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 870912, while the sum is 48.

The square root of 34494978 is about 5873.2425456472. The cubic root of 34494978 is about 325.5257069699.

The spelling of 34494978 in words is "thirty-four million, four hundred ninety-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 127 174 203 223 254 381 406 446 609 669 762 889 1218 1338 1561 1778 2667 3122 3683 4683 5334 6467 7366 9366 11049 12934 19401 22098 25781 28321 38802 45269 51562 56642 77343 84963 90538 135807 154686 169926 198247 271614 396494 594741 821309 1189482 1642618 2463927 4927854 5749163 11498326 17247489 34494978